A normal population has a mean of $78 and standard deviotion of $8. You select random samples of 40 a. Apply the central timit theorem to describe the sampling distribution of the sample mean wht n=40. What condition is necessary to opply the central timt theorem? b. What is the standard error of the sampiing distribution of sample means? (Round your answer to 2 decimal places.) c. What is the probebaify thot a sample mean is less than $77 ? (Round z value to 2 decimal places and final answer to 4 decimat placest d. What is the probability that a sample meon is between $77 and $79 ? (Round z value to 2 decimal places and final answer to 4 decimal places) A normal population has a mean of $78 and standard deviotion of $8. You select random samples of 40 a. Apply the central timit theorem to describe the sampling distribution of the sample mean wht n=40. What condition is necessary to opply the central timt theorem? b. What is the standard error of the sampiing distribution of sample means? (Round your answer to 2 decimal places.) c. What is the probebaify thot a sample mean is less than $77 ? (Round z value to 2 decimal places and final answer to 4 decimat placest d. What is the probability that a sample meon is between $77 and $79 ? (Round z value to 2 decimal places and final answer to 4 decimal places)